The phenomenology
of the glass transition and the associated behavior
in the near liquid and glassy states are detailed, including the cooling
rate dependence of the glass transition, Kovacs’ three signatures
of structural recovery, and enthalpy overshoots. Dynamics in the liquid
regime just above T
g and the associated
temperature dependences are also covered since this behavior is important
to understanding the glassy dynamics. The current models of structural
recovery and their shortcomings are presented. A number of important
unanswered questions are discussed, including how the relaxation time
in the glassy state depends on structure, the relationship between
the evolution of different properties, the resolution of the Kauzmann
paradox, and the behavior of the equilibrium relaxation time below T
g. New experimental approaches are needed to
make breakthroughs, such as two that are described: one involving
20 Ma amber to test whether the Vogel temperature dependence continues
for the equilibrium state below T
g and
another involving an ideal polymer/pentamer mixture to obtain the
entropy of the liquid far below T
K in
a test of the Kauzmann paradox. An unexplored regime of glassy behavior,
characterized by ultrastability, high density, and low fictive temperature,
is identified, and experiments to understand the material behavior
in this region are motivated.